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Finding the Fourth Proportional to 255,206.40, 352,181.36 and 142,029.16

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Solution

The fourth proportional to 255,206.40, 352,181.36 and 142,029.16 is: 195,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,206.40 : 352,181.36 = 142,029.16 : x
  2. Step 2: Convert to fraction form
    255,206.40/352,181.36 = 142,029.16/x
  3. Step 3: Cross multiply
    255,206.40x = 352,181.36 × 142,029.16
  4. Step 4: Simplify right side
    255,206.40x = 50,020,022,728.46
  5. Step 5: Solve for x
    x = 50,020,022,728.46/255,206.40
  6. Step 6: Final answer
    x = 195,998.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.